The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. By focusing on agents with integrator dynamics, the accent is put here on the study of the time-delays influence: both constant and time-varying delays are considered, as well as uniform and non uniform repartitions of the delays in the network. The main results provide sufficient conditions (also necessary in most cases) for existence of average consensus under bounded communication delays. Simulations are provided that show adequation with these results.
Dimitri Nestor Alice Van De Ville, Nicolas Gninenko, Merel Margaretha van der Thiel
Frédéric Courbin, Georges Meylan, Sun Hee Kim, Hung-Hsu Chan, Malte Tewes, Vivien François Bonvin, Martin Raoul Robert Millon, Karina Alexandra Rojas Olate
Frédéric Courbin, Eric Gérard Guy Paic, Sun Hee Kim, Hung-Hsu Chan, Vivien François Bonvin, Martin Raoul Robert Millon, Karina Alexandra Rojas Olate, Cameron Alexander Campbell Lemon, Adriano Agnello